problem
Here's something I've been wrestling with for a while.
Before I start, I've been a fan of Smullyan for a long time. MANY times I have come to the conclusion that one of his solution...
Just one question? Okay, here goes...
'Hey there, punk! Yes, you! I've got you covered, and I can pull this trigger a lot faster than you can draw. That's better. Now, I'm head...
Hi!
Does anyone know how old is 8 queens puzzle? I found only this information:
The n-queens problem is an old one that has been around for more than a century. Originally known as the 8-Queen...
I've never been able to figure out just how the solution to the Sultan's Dowry problem (short version: a Sultan has 100 daughters, and you have to select one to be your wife, but you have to...
I posted this problem about a year and half ago, but it didn't generate much interest. Yet I maintain that it's a nice problem, albeit too mathy for the taste of some. So here it is again (i...
: improve further?
Adam Stephanides has already solved this problem for three people. This solution can be extended for any number of people to win with probability 1-1/2^n in at most n rounds as ...
...s a short easy step to prove that any integer n can be expressed as the sum of 5 integers cubed.
(This problem was part of a national undergraduate math contest when I was an undergraduate.)
I...
Hello Harry,
I have seen this problem and I have given my answer below.
&&&
&&& 15 & & & & 10 & & & & 5 & & & &
...
Well yes, but it would be nice to show why; another poster has already done this.
New problem: What was white's last move? (Hint: it could not have been either of the above suggestions.)
I replied on a new thread 'Re: Permutation Counting Problem' When you post in more than one group, please do so with one post with multiple newsgroup target names? Thanks
Dirk Vdm
I found recently a problem on the number theory which I cannot solve. I would appreciate any suggestions on the following:
Let a and b be irrational numbers. Can a^b (a to the power b) be a ration...
Now a have a copy of 'Caliban's Problem Book: Mathematical, Inferential and Cryptographic Puzzles' by Hubert Phillips (Caliban), S.T. Shovelton and G. Struan Marshall (105 problems - tw...
...close to A. It is then possible to have a further 7 ships close to B, all of which could shoot B.
(The problem of the densest possible sphere packing in 3 dimensions was only completely solved a c...
An incredibly long time ago (try 1954) one of my communications theory instructors used the 12 ball problem as an example to demonstrate information theory. Identifying the odd ball requires log2(2*12...
My egghead professor is about to drop my poor egg from the 2nd floor of his egg department onto the concrete floor below. You only have 3 drinking straws from Macdonald, a metre-long scotch tape and a...
for the pb 'how to plant ten trees in ten rows such that each row contains extactly 3 trees and each tree is in exactly 3 rows.
But can any solve the variant 5 rows of 4 trees created from ju...
Given right triangle ABC where BC = 3, AC = 4, and AB = 5.
Let H_1 be the point on AB such that CH_1 is an altitude of triangle ABC.
Let H_2 be the point on AC such that H_1H_2 is an altitude ...
There exists a common type timer switch. Inside it there is a small electrical motor that drives a rotating disc through a gear train.
Along the edge of the disc ninety-six small slides facilitate...
Prove that if a number of two digits is 6 times the sum of its digits, then the number formed by interchanging the digits is 5 times their sum.
Hi.
How many non-mutually-attacking queens can be placed on:
1) cylindrical board (f.e. 8x8) 2) torus board (f.e. 8x8) 3) 'Klein' board (like this one http://humber.northnet.org/wee...
Could someone Help me With This logic Problem?
wet wet wet wet wet wet wet
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...
Different problem from what? The problem as stated is incompletely specified. It cannot be answered until we know exactly what procedure Fred followed to choose two pills with the property tha...
Perhaps I haven't read all the responses carefully enough, but this problem seems simpler to analyze if you consider that all three sums must be quadratic residues mod 3. Problem 4 is also easy i...
Hi all,
As everybody knows, there is a standard algorithm to solve the magic square problem for a grid of size n*n, where n is an odd number. What about solutions for even n?
What is the best ...
Here is a problem by J.A.H. Hunter.
You probably know the very simple Magic Square:
4 3 8 9 5 1 2 7 6 Each row, each column, and each diagonal totals 15. And the 8 is in one corner. Now make a...
A more serious problem associated with this 'problem' might be statistical significance in science and business. Often a 5% or so probability is used to draw the line between an observation ...
I think about this problem for a week. I couldn't solve it. It looks like very easy problem. The is the just like following. 1.Find the number of circular arrangements of r ones and n-r zeros wit...
Thanks for a thoroughly amusing problem with good opportunities for learning. If you or anyone else is as fascinated with the problem as I now am, the page: http://www.av8n.com/physics/laplace.html ...
...ey don't run into this situation the next time. I don't know a sequence of moves that fixes this problem (to flip the inverted edge, you also have to permute some like-colored center cubies)...
Here is a problem on expressions for successive integers by J.A.H. Hunter.
We take 1815 for a Numbers Game today, just the four figures and no other figures at all. Using those four figures, toget...
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